Total longitudinal momentum in a dispersive optical waveguide

Yu, Jianhui; Chen, Chunyan; Zhai, Yanfang; Chen, Zhe; Zhang, Jun; Wu, Lijun; Huang, Furong; Xiao, Yongguang

doi:10.1364/oe.19.025263

Cited by 14 publications

(11 citation statements)

References 31 publications

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“…(11)- (13). This tensor is then associated with the conservation law, T α β ;β = 0, yielded when the system is translationally invariant in spacetime (i.e., when the four-force is zero, L x α = 0).…”

Section: A Covariant Formulationmentioning

confidence: 99%

Axiomatic geometrical optics, Abraham-Minkowski controversy, and photon properties derived classically

Dodin

Fisch

2012

Phys. Rev. A

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By restating geometrical optics within the field-theoretical approach, the classical concept of a photon (and, more generally, any elementary excitation) in arbitrary dispersive medium is introduced, and photon properties are calculated unambiguously. In particular, the canonical and kinetic momenta carried by a photon, as well as the two corresponding energy-momentum tensors of a wave, are derived from first principles of Lagrangian mechanics. As an example application of this formalism, the Abraham-Minkowski controversy pertaining to the definitions of these quantities is resolved for linear waves of arbitrary nature, and corrections to the traditional formulas for the photon kinetic energy-momentum are found. Several other applications of axiomatic geometrical optics to electromagnetic waves are also presented.

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Section: A Covariant Formulationmentioning

confidence: 99%

Axiomatic geometrical optics, Abraham-Minkowski controversy, and photon properties derived classically

Dodin

Fisch

2012

Phys. Rev. A

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“…Light carries momentum density g that can be expressed, respectively, in the Abraham or the Minkowski definition [23]:…”

Section: Heuristic Modelmentioning

confidence: 99%

Center-of-Mass Acceleration in Coupled Nanowaveguides Due to Transverse Optical Beating Force

Fernandes

Carvalho

Guimarães

et al. 2018

J. Lightwave Technol.

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Eigenmode optical forces arising in symmetrically coupled waveguides have opposite sign on opposite waveguides and thus can deform the waveguides by changing their relative separation, but cannot change any other degree of freedom on their own. It would be extremely desirable to have a way to act on the center of mass of such a system. In this work we show that it is possible to do so by injecting a superposition of eigenmodes that are degenerate in frequency and have opposite parity along the desired direction, resulting in beating forces that have the same sign on opposite waveguides and therefore act on the center of mass. We have used both the Maxwell Stress Tensor formalism and the induced dipole force equation to numerically calculate this transverse beating force and have found its magnitude to be comparable to the eigenmode forces. We also show that the longitudinal variation caused by the spatial beating * The authors acknowledge the funding by FAPEMIG, CNPq and CAPES. P.-L. , 13083-859, Campinas, São Paulo, Brazil (e-mail: kersulmt@ifi.unicamp.br and plouis@ifi.unicamp.br) pattern on the time-averaged quantities used in the calculations must be taken into account in order to properly employ the divergence theorem and obtain the correct magnitudes. We then propose a heuristic model that shows good quantitative agreement with the numerical results and may be used as a prototyping tool for accurate and fast computation without relying on expensive numerical computation.

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“…The inward push force at the OM endface has been observed and used to support the Abraham definition of light momentum in a transparent dielectric. Simulations have been carried out to evaluate the contribution of electromagnetic momentum and longitudinal Lorentz forces inside an OM and the finite‐difference time‐domain method was used to evaluate the Abraham momentum and the mechanical momentum contributions to the total longitudinal momentum . Longitudinal forces on a 450‐nm OM have been estimated to be in the region of 0.4 pN/mW for